渐开线少齿差内啮合齿轮副几何设计研究  

Geometric Design of Involute Internal Gear Pair with Few Teeth Difference

作　　者：王光建[1] 蒋汉军[1] 褚志刚[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《农业机械学报》2011年第4期201-205,200,共6页Transactions of the Chinese Society for Agricultural Machinery

基　　金：国家自然科学基金资助项目(50705100);重庆市自然科学基金资助项目(2008BB3166);中国博士后科学基金特别资助项目(20070410203;200801226)

摘　　要：在不同内啮合副几何计算基础上,分析了不同加工方法(包括滚齿、插齿和线切割等)、顶隙时少齿差内啮合齿轮副几何计算方法和适用性。研究了不同齿顶圆直径对少齿差内啮合齿轮副变位系数、啮合角、重合度和齿廓干涉等参数的影响。在满足重合度和齿廓干涉限制条件下,使用牛顿迭代法和不同齿顶圆公式,获得少齿差内啮合齿轮副最小啮合角的变位系数和啮合角。计算表明:在满足重合度和齿廓干涉限制条件下取得最小啮合角时,无论采用滚齿还是插齿加工,顶隙混合制时少齿差内啮合齿轮副的啮合角和变位系数均较小。Based on the different geometric design and calculation of involute internal gear pair,the calculation methods and applicability of involute internal gear pair with few teeth difference were presented when using different processing methods,including hobbing,gear shaper and wire cut EDM,and different top gaps.The influenced factors such as modification coefficient,engaging angle,contact ratio and the interference of tooth profiles were investigated via different calculation methods of addendum circle diameter.To meet the constraints of contact ratio and tooth profile interference,modification coefficient and the minimum angle of engagement were obtained by using Newton＇s iterative method through different calculation methods of addendum circle diameter.The calculation results indicated that under the restrictive conditions of contact ratio and tooth profile interference,regardless of hobbing or gear shaping process,angle of engagement and modification coefficient of the top gap of mixed mode of involute internal gear pair with few teeth difference were smaller when obtaining the minimum engaging angle.

关 键 词：内啮合齿轮副 少齿差 啮合角 

分 类 号：TH132.425[机械工程—机械制造及自动化]